When a pin is moved along the principal axis of a small concave mirror, the image position coincides with the object at a point 0.5m from the mirror. If the mirror is placed at a depth of 0.2m in a transparent liquid, the same phenomenon occurs when the pin is placed 0.4m from the mirror. find the refractive index of the liquid shown in fig.

When a pin is moved along the principal axis of a small concave mirror

1.	When a pin is moved along the principal axis of a small concave mirror, the image position coincides with the object at a point 0.5m from the mirror. If the mirror is placed at a depth of 0.2m in a transparent liquid, the same phenomenon occurs when the pin is placed 0.4m from the mirror. find the refractive index of the liquid shown in fig.
Answer» Solution :`\|R\|=0.5 m` (from first case) In the SHOWN figure, OBJECT appears at DISTANCE `d=mu_e(0.2)+0.2` Now, for IMAGE to further coincide with the object, `d=\|R\|` SOLVING we get, `mu_e=1.5`

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